We would like to see how a city’s location can help predict its weather. The latitude (in degrees north of the equator) and average January temperature (in degrees Celsius) are shown below for a sample of cities in the northern hemisphere:
(a) Using JMP, create a scatterplot of these data and attach it. Create two columns, one titled Latitude and the other titled Temperature and enter the data. Select Analyze > Fit Y by X, click Latitude, then X, Factor, and click Temperature, then Y, Response, then OK. Under the red arrow, select Fit Line. This will add the least squares regression line to the scatterplot. Attach the scatterplot in your answer window.
(b) Interpret the meaning of the slope of the least squares regression line for predicting temperature from latitude.
(c) What is the value of the correlation between latitude and temperature?
(d) Winnipeg has a latitude 49.9 degrees north of the equator. What is the predicted average January temperature for Winnipeg?
(e) Reykjavik, Iceland has a latitude 64.1 degrees north of the equator. What is the predicted average January temperature for Reykjavik?
(f) Is one of your predictions in (d) and (e) more reliable than the other? Explain.
(g) What is the value of the residual for New York City? What does the sign of the residual tell us?
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